Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
https://doi.org/10.1186/s42787-020-00096-2
Abstract
In this paper, we defined the fuzzy upper, fuzzy lower, and fuzzy boundary sets of a rough fuzzy set λ in a fuzzy approximation space (X, R). Based on λ and R, we introduced the fuzzy ideal approximation interior operator intlambdaR and the fuzzy ideal approximation closure operator clR λ. We joined the fuzzy ideal notion with the fuzzy approximation spaces, and then introduced the fuzzy ideal approximation closure and interior operators associated to a rough fuzzy set λ. Fuzzy ideal approximation connectedness and the fuzzy ideal approximation continuity between fuzzy ideal approximation spaces are introduced.
Ibedou, I., & Abbas, S. (2020). Fuzzy rough sets with a fuzzy ideal. Journal of the Egyptian Mathematical Society, 28(1), 1-13. doi: https://doi.org/10.1186/s42787-020-00096-2
MLA
Ismail Ibedou; S. E. Abbas. "Fuzzy rough sets with a fuzzy ideal". Journal of the Egyptian Mathematical Society, 28, 1, 2020, 1-13. doi: https://doi.org/10.1186/s42787-020-00096-2
HARVARD
Ibedou, I., Abbas, S. (2020). 'Fuzzy rough sets with a fuzzy ideal', Journal of the Egyptian Mathematical Society, 28(1), pp. 1-13. doi: https://doi.org/10.1186/s42787-020-00096-2
VANCOUVER
Ibedou, I., Abbas, S. Fuzzy rough sets with a fuzzy ideal. Journal of the Egyptian Mathematical Society, 2020; 28(1): 1-13. doi: https://doi.org/10.1186/s42787-020-00096-2
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